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Unformatted text preview: Name MAE 102
WINTER 2008 Quiz 1. A plane, P, ﬂys in a Vertical circle with a radius of 1500m. The plane’s forward
velocity is 500 km/hr. At the instant shown, r = 1 km and the plane is at an altitude of
500 m. Express the plane’s velocity using both Cartesian (xy) and Polar (r9) coordinates. If the plane maintains a constant speed, ﬁnd F and 65.  m/
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V’ 33 , Wow. 3 6’ 6 /5 \Mmm _______ VW~M'«’f*1_”WTTT‘AWT "‘y", 2. What must 9 be so that the velocity of A relative to B (VA , B) is purely in the x
direction? What is V A , B ? If B accelerates in the direction of its velocity by 5 "g; , how much must A accelerate in the direction of its velocity in order to have A A , B be purely in
the x direction? What is A A ,8 45‘ YA =1 5103!? T + 6S’sinﬂfjwynr Q A \) ‘24, r Q‘A/ﬂ =3 Vfc‘Hr :q/uafnn m m +, 33%;. 3. The Sliders A and B are connected by a massless rigid bar of length l m and move
with negligible friction in their slots, which lie in a vertical plane. At the instant shown, the velocity ofB is VB = 0.5% and XB = 0.8m. The mass ofA is 2 kg and the mass of
B is 5 kg. Find the Tension in the rod and the accelerations of A and B. im 0
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 Spring '08
 Chatterjee

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